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Robust H ∞  Control with Pole Placement Constraints for T-S Fuzzy Systems

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Book cover Advances in Machine Learning and Cybernetics

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3930))

Abstract

This paper addresses the problem of designing a robust fuzzy controller for a class of uncertain fuzzy system with H  ∞  optimization and D -stability constraints on the closed-loop pole locations. Takagi and Sugeno (T-S) fuzzy models are used for the uncertain nonlinear systems. By utilizing the concept of the so-called parallel distributed compensation (PDC) method, solutions to the problem are derived in terms of a family of linear matrix inequalities and are numerically tractable via LMI techniques.

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Author information

Authors and Affiliations

  1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, P. O. Box 416, Harbin, 150001, P.R. China

    Liang He & Guang-Ren Duan

Authors
  1. Liang He
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  2. Guang-Ren Duan
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Editor information

Editors and Affiliations

  1. Department of Computing, Hong Kong Polytechnic University, P.O. Box, Hong Kong, China

    Daniel S. Yeung

  2. School of Creative Media, City University of Hong Kong,, China

    Zhi-Qiang Liu

  3. Department of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, P.R. China

    Xi-Zhao Wang

  4. School of Electrical and Information Engineering, University of Sydney, 2006, NSW, Australia

    Hong Yan

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© 2006 Springer-Verlag Berlin Heidelberg

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He, L., Duan, GR. (2006). Robust H ∞  Control with Pole Placement Constraints for T-S Fuzzy Systems. In: Yeung, D.S., Liu, ZQ., Wang, XZ., Yan, H. (eds) Advances in Machine Learning and Cybernetics. Lecture Notes in Computer Science(), vol 3930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11739685_36

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  • DOI: https://doi.org/10.1007/11739685_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33584-9

  • Online ISBN: 978-3-540-33585-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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